Stone game, C/C++ Programming

Assignment Help:
A game is played with three piles of stones and two players. At her turn, a player removes one or more stones from the piles. However, if she takes stones from more than one pile, she must remove the same number of stones from each of the selected piles.
In other words, the player chooses some N>0 and removes:
? N stones from any single pile; or ? N stones from each of any two piles (2N total); or ? N stones from each of the three piles (3N total).
The player taking the last stone(s) wins the game.
A winning configuration is one where the first player can force a win. For example, (0,0,13), (0,11,11) and (5,5,5) are winning configurations because the first player can immediately remove all stones.
A losing configuration is one where the second player can force a win, no matter what the first player does. For example, (0,1,2) and (1,3,3) are losing configurations: any legal move leaves a winning configuration for the second player. Consider all losing configurations (xi,yi,zi) where xi = yi = zi = 100. We can verify that S(xi+yi+zi) = 173895 for these.
Find S(xi+yi+zi) where (xi,yi,zi) ranges over the losing configurations with xi = yi = zi = 1000.

Related Discussions:- Stone game

How can one encourage his (older) compiler , Q: How can one encourage his (...

Q: How can one encourage his (older) compiler to check new to see automatically if it returns NULL?       A: His compiler eventually will. If he contain an old compiler wh

What is abstraction?, What is abstraction? - Simplified view of an obje...

What is abstraction? - Simplified view of an object in user's language is termed as abstraction. - It's the simplest, well-defined interface to an object in OO and C++ which

#Luminous Jewels, #Byteland county is very famous for luminous jewels. Lumi...

#Byteland county is very famous for luminous jewels. Luminous jewels are used in making beautiful necklaces. A necklace consists of various luminous jewels of particular colour. Ne

C program for find even & odd no.s in the array , C Program for FIND EVEN &...

C Program for FIND EVEN & ODD NO.S IN THE ARRAY #include stdio.h> #include string.h> #include conio.h> void main() {           int i=0,j=0, l_e[100],l_o[100];

Write a program to illustrate array with strings, Write a Program to illust...

Write a Program to illustrate Array with Strings? main() { static char name[]="devdas"; int i; i=0; while(name[i]!='\0') { printf("%c",name[i]); i=i+1; } } In the

Need programmer to program a flex pcb, Project Description: I want a per...

Project Description: I want a person who will be able to program a flex PCB for my device as i meet the person i will be able to describe all my needs Skills required are C P

Write a program that calculates points along a curve, write a program that ...

write a program that calculates points along a rhodonea curve.... ? int fillArray( double data[ ], int nValues, double min, double max ); o Used to fill in the theta array. Return

Problem : Luminous Jewels - Polishing Necklace, Byteland county is very fam...

Byteland county is very famous for luminous jewels. Luminous jewels are used in making beautiful necklaces. A necklace consists of various luminous jewels of particular colour. Nec

Develop a .net wrapper for a c++ dll, Develop a .NET wrapper for a C++ Dll ...

Develop a .NET wrapper for a C++ Dll Project Description: We have a classic VC++ Dll that requires a .NET wrapper built by you. Use latest Visual Studio and .Net framework sh

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd